(5v^2-5)/(v^2+6v-7)

Solution for (5v^2-5)/(v^2+6v-7) equation:

D( v )

v^2+6*v-7 = 0

v^2+6*v-7 = 0

v^2+6*v-7 = 0

v^2+6*v-7 = 0

DELTA = 6^2-(-7*1*4)

DELTA = 64

DELTA > 0

v = (64^(1/2)-6)/(1*2) or v = (-64^(1/2)-6)/(1*2)

v = 1 or v = -7

v in (-oo:-7) U (-7:1) U (1:+oo)

(5*v^2-5)/(v^2+6*v-7) = 0

v^2+6*v-7 = 0

v^2+6*v-7 = 0

DELTA = 6^2-(-7*1*4)

DELTA = 64

DELTA > 0

v = (64^(1/2)-6)/(1*2) or v = (-64^(1/2)-6)/(1*2)

v = 1 or v = -7

(v+7)*(v-1) = 0

(5*v^2-5)/((v+7)*(v-1)) = 0

5*v^2 = 5 // : 5

v^2 = 1

v^2 = 1 // ^ 1/2

abs(v) = 1

v = 1 or v = -1

v in { 1} 

v = -1